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arXiv · 2209.12497

Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetry

T. T. Sergeev·E. S. Andrianov·A. A. Zyablovsky
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Abstract

Spontaneous symmetry breaking in systems with symmetry is a cornerstone phenomenon accompanying second-order phase transitions. Here, we predict the opposite phenomenon, namely, spontaneous symmetry emergence in a system that lacks symmetry. In the example of two coupled oscillators interacting non-symmetrically with a set of oscillators whose frequencies uniformly fill a finite frequency range, we demonstrate that the system state can acquire symmetry that is not inherent in the system Hamiltonian. The emergence of symmetry is manifested as a change in the system dynamics, which can be interpreted as a phase transition in a Hermitian system that lacks symmetry.

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T. T. Sergeev, E. S. Andrianov, A. A. Zyablovsky. 2022-09-26. Spontaneous symmetry emergence in a Hermitian system of coupled oscillators without symmetry. https://doi.org/10.22331/q-2025-05-15-1746

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